braidpath op• Data kinds: any × signal → table
• Call: import fullseye as fs; fs.ledger.dynnikov_act(coords, word) (to call the implementation directly, import braidpath; braidpath.dynnikov_act(coords, word); from the registry, opsdrive.get("dynnikov_act"))
• GPU: none (CPU reference implementation only)
Applies a braid word to arbitrary Dynnikov coordinates (a; b) (integer or real —— the formulas are piecewise linear).
coords is a dict (a, b) or a sequence of length 2(n − 1) (first half a, second half b). The number of strands is n = len(a) + 1. The relations σᵢσᵢ₊₁σᵢ = σᵢ₊₁σᵢσᵢ₊₁, σᵢσⱼ = σⱼσᵢ, σᵢσᵢ⁻¹ = 1 hold identically for every (a; b) (gate 1, on random real coordinates).
Returns: a dict of the same form as dynnikov_coordinates (real input stays float).
• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).
• Operator provenance and references — the sources of the research/methods this op family came from.
• The canonical algorithm (author, year) and its uses are named in the family usage guide above.
• poc_braid_homotopy_classes — py -3.11 examples/poc_braid_homotopy_classes.py
table as input)course_layout · course_occupancy · course_contains · world_build · world_camera · world_move · lidar_scan · rss_longitudinal_same
braidpath)braid_from_trajectories · braid_reduce · braid_artin_images · dynnikov_coordinates · braid_equivalent · homotopy_class_compare · pairwise_winding · homotopy_shortest_paths
*Provenance: braidpath.py — DRIVE operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.